Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 342, 380, 589 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 342, 380, 589 is 19 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 342, 380, 589 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 342, 380, 589 is 19.
HCF(342, 380, 589) = 19
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 342, 380, 589 is 19.
Step 1: Since 380 > 342, we apply the division lemma to 380 and 342, to get
380 = 342 x 1 + 38
Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 38 and 342, to get
342 = 38 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 342 and 380 is 38
Notice that 38 = HCF(342,38) = HCF(380,342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 589 > 38, we apply the division lemma to 589 and 38, to get
589 = 38 x 15 + 19
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 19 and 38, to get
38 = 19 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 38 and 589 is 19
Notice that 19 = HCF(38,19) = HCF(589,38) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 342, 380, 589?
Answer: HCF of 342, 380, 589 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 342, 380, 589 using Euclid's Algorithm?
Answer: For arbitrary numbers 342, 380, 589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.